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On Saturday morning, Malachi will begin a camping vacation a

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Intern
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Joined: 08 Oct 2007
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On Saturday morning, Malachi will begin a camping vacation a  [#permalink]

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New post 30 Nov 2008, 07:16
2
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A
B
C
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E

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  35% (medium)

Question Stats:

73% (00:56) correct 27% (01:00) wrong based on 113 sessions

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On Saturday morning, Malachi will begin a camping vacation and he will return home at the end of the first day on which it rains. If on the first three days of the vacation the probability of rain on each day is 0.2, what is the probability that Malachi will return home at the end of the day on the following Monday?

A. 0.008
B. 0.128
C. 0.488
D. 0.512
E. 0.640

OPEN DISCUSSION OF THIS QUESTION IS HERE: on-saturday-morning-malachi-will-begin-a-camping-vacation-100297.html
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Re: rain probability  [#permalink]

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New post 30 Nov 2008, 07:21
Quote:
On Saturday morning, Malachi will begin a camping vacation and he will return home at the end of the first day on which it rains. If on the first three days of the vacation the probability of rain on each day is 0.2, what is the probability that Malachi will return home at the end of the day on the following Monday?

A. 0.008
B. 0.128
C. 0.488
D. 0.512
E. 0.640


probability that will not rain is 1-0,2=0,8. Two days there won't rain, and on the third day, Monday, prob. of rain is 0,2. So, 0,8 x 0,8 x 0,2 = 0,128

B
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Re: rain probability  [#permalink]

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New post 30 Nov 2008, 07:23
1
2
Re-phrasing the question:
What is the probability of: Saturday: No rain, Sunday: No rain, Monday: Rain

Probablity of rain = 0.2
Therefore, probability of no rain = 0.8

0.8*0.8*0.2 = 0.128
Hence B
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Posts: 47920
Re: On Saturday morning, Malachi will begin a camping vacation a  [#permalink]

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New post 12 Jan 2014, 05:18
On Saturday morning, Malachi will begin a camping vacation and he will return home at the end of the first day on which it rains. If on the first three days of the vacation the probability of rain on each day is 0.2, what is the probability that Malachi will return home at the end of the day on the following Monday?

A. 0.008
B. 0.128
C. 0.488
D. 0.512
E. 0.640

We are looking for the probability of the following even NNR: no rain on first day, no rain on second day, rain on third day (Monday).

\(P(NNR)=0.8*0.8*0.2=0.128\).

Answer: B.

OPEN DISCUSSION OF THIS QUESTION IS HERE: on-saturday-morning-malachi-will-begin-a-camping-vacation-100297.html
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Re: On Saturday morning, Malachi will begin a camping vacation a  [#permalink]

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New post 30 Jul 2018, 03:49
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Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

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Re: On Saturday morning, Malachi will begin a camping vacation a &nbs [#permalink] 30 Jul 2018, 03:49
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